Magma V2.19-8 Tue Aug 20 2013 16:17:14 on localhost [Seed = 997894116] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1475 geometric_solution 5.29030205 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515147689747 0.318799154893 0 3 0 3 0132 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.403633766961 0.868638776012 4 0 5 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.081218543293 0.549839621118 1 1 4 5 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.262911198133 1.779876709288 2 4 4 3 0132 1230 3012 3012 0 0 0 0 0 -1 1 0 -1 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.027998438061 0.789150473537 6 6 3 2 0132 3201 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554569147459 1.097735532762 5 6 5 6 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.768028973985 0.472470362841 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 322191/70772*c_0101_5^13 + 14599/1361*c_0101_5^12 + 267767/35386*c_0101_5^11 - 539171/70772*c_0101_5^10 + 35127/17693*c_0101_5^9 + 3113301/70772*c_0101_5^8 + 68717/1361*c_0101_5^7 - 429875/35386*c_0101_5^6 - 1382831/35386*c_0101_5^5 - 17253/17693*c_0101_5^4 + 476235/17693*c_0101_5^3 - 953655/35386*c_0101_5^2 - 1649961/35386*c_0101_5 - 1365189/70772, c_0011_0 - 1, c_0011_2 - 155/17693*c_0101_5^13 - 117/1361*c_0101_5^12 - 3249/17693*c_0101_5^11 - 1902/17693*c_0101_5^10 - 290/17693*c_0101_5^9 - 3090/17693*c_0101_5^8 - 1250/1361*c_0101_5^7 - 14890/17693*c_0101_5^6 - 530/17693*c_0101_5^5 + 7119/17693*c_0101_5^4 - 8279/17693*c_0101_5^3 - 15884/17693*c_0101_5^2 + 4032/17693*c_0101_5 + 15945/17693, c_0011_5 - 1760/17693*c_0101_5^13 + 252/1361*c_0101_5^12 + 7626/17693*c_0101_5^11 + 2945/17693*c_0101_5^10 - 14137/17693*c_0101_5^9 + 3724/17693*c_0101_5^8 + 2797/1361*c_0101_5^7 + 22125/17693*c_0101_5^6 - 28277/17693*c_0101_5^5 - 781/17693*c_0101_5^4 + 15005/17693*c_0101_5^3 + 13692/17693*c_0101_5^2 - 27843/17693*c_0101_5 - 2726/17693, c_0101_0 - 1748/17693*c_0101_5^13 - 257/1361*c_0101_5^12 - 227/17693*c_0101_5^11 + 6745/17693*c_0101_5^10 + 154/17693*c_0101_5^9 - 15442/17693*c_0101_5^8 - 838/1361*c_0101_5^7 + 24990/17693*c_0101_5^6 + 27126/17693*c_0101_5^5 - 1218/17693*c_0101_5^4 - 15859/17693*c_0101_5^3 + 20515/17693*c_0101_5^2 + 28120/17693*c_0101_5 - 536/17693, c_0101_1 - 1, c_0101_2 - 536/17693*c_0101_5^13 + 52/1361*c_0101_5^12 + 2805/17693*c_0101_5^11 + 1299/17693*c_0101_5^10 - 7281/17693*c_0101_5^9 - 4978/17693*c_0101_5^8 + 858/1361*c_0101_5^7 + 13574/17693*c_0101_5^6 - 21238/17693*c_0101_5^5 - 27662/17693*c_0101_5^4 - 1462/17693*c_0101_5^3 + 19611/17693*c_0101_5^2 - 16763/17693*c_0101_5 - 9355/17693, c_0101_5^14 + 2*c_0101_5^13 + c_0101_5^12 - 2*c_0101_5^11 + c_0101_5^10 + 9*c_0101_5^9 + 8*c_0101_5^8 - 5*c_0101_5^7 - 7*c_0101_5^6 + c_0101_5^5 + 5*c_0101_5^4 - 7*c_0101_5^3 - 7*c_0101_5^2 - 2*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB